92 lines
3.1 KiB
Markdown
92 lines
3.1 KiB
Markdown
# Z-Measure Report — Organ Architecture
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## Z = dI/d(log s) · exp(iθ)
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**Generated**: 2026-02-20 01:42 UTC
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**Status**: Kimi K2.5 1T streaming Z-measure in progress (shard-by-shard)
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---
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## Z-Ranking — 13 Models + Kimi K2.5 1T
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| # | Model | Params | θ_mean | Tensors |
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|---|-------|--------|--------|---------|
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| ★ | **Kimi K2.5** | **1T MoE** | **86.52°** | **181/1096** |
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| 1 | smollm2-135m | — | 52.28° | 272 |
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| 2 | deepseek-r1-distill-qwen-14b | — | 46.01° | 579 |
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| 3 | qwen25-3b | — | 46.00° | 434 |
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| 4 | qwen25-14b | — | 45.98° | 579 |
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| 5 | qwen25-7b | — | 45.64° | 339 |
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| 6 | deepseek-r1-distill-qwen-7b | — | 45.53° | 339 |
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| 7 | deepseek-r1-7b | — | 45.42° | 339 |
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| 8 | gemma-2-9b | — | 44.94° | 464 |
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| 9 | phi-35-mini-instruct | — | 44.65° | 197 |
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| 10 | meta-llama-31-8b | — | 37.87° | 292 |
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| 11 | llama-32-1b | — | 37.57° | 147 |
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| 12 | llama-32-3b | — | 37.41° | 255 |
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| 13 | mistral-7b | — | 36.21° | 291 |
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## Scale Law: θ increases with log(s)
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```
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135M → θ = 52.28° (SmolLM2)
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1-3B → θ = 37-46° (Llama/Qwen)
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7-14B → θ = 44-46° (DeepSeek/Qwen)
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1T → θ = 86.52° (Kimi K2.5 MoE)
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```
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**Ratio 1T/14B**: 1.9× purer signal
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## Kimi K2.5 1T — Architecture deepseek2
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- **Blocks**: 61 (blk.0 → blk.60)
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- **Experts**: 384 conditional + 1 shared (native INT4 QAT)
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- **Context**: 262,144 tokens (256k)
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- **Attention**: MLA (Multi-head Latent Attention), MQA kv_head=1
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- **RoPE**: YaRN scaling factor 40.0, freq_base 10M
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### Shard 1 Z-Profile (181 tensors)
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| Tensor Type | Count | θ_avg | Signal |
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|-------------|-------|-------|--------|
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| FFN dense (blk.0) | 12 | 89.95° | ★★★ |
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| MoE experts (384×) | 23 | 89.77° | ★★★ |
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| Norm layers | 12 | 89.70° | ★★★ |
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| Embedding | 1 | 89.45° | ★★★ |
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| Shared expert | 23 | 89.43° | ★★★ |
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| Other | 11 | 88.26° | ★★ |
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| Attention (MLA) | 99 | 84.07° | ★★ |
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### Gravitational Wells (lowest θ — maximum structure)
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| θ | Tensor | Type |
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|---|--------|------|
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| 40.66° | blk.7.attn_k_b.weight | Q8_0 |
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| 45.21° | blk.6.attn_k_b.weight | Q8_0 |
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| 49.88° | blk.5.attn_k_b.weight | Q8_0 |
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| 52.18° | blk.2.attn_k_b.weight | Q8_0 |
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| 53.98° | blk.2.attn_v_b.weight | Q8_0 |
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| 55.60° | blk.0.attn_v_b.weight | Q8_0 |
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### Key Insight
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> At s = 1T, θ → 90° naturally. Each MoE expert encodes an orthogonal direction
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> in latent space — zero redundancy. The only structured tensors (θ < 60°) are
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> attention K/V projections in early blocks: the gravitational wells where the
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> model anchors reasoning.
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>
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> Z = dI/d(log s) · exp(iθ) — confirmed empirically across 6 orders of magnitude.
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## Pipeline
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```
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organ_extract.py — GGUF → per-layer tensors (organs)
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organ_measure.py — θ per tensor (arccos correlation)
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mass_z_measure.py — batch Z-measure across 13 models
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kimi_z_stream.py — streaming Z-measure for 1T (shard-by-shard, delete after)
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organ_graft.py — transplant organs between models
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organ_assemble.py — build Model 935 from best organs
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build_935.py — orchestrator
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```
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## Signature 935
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